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Question

The number of four digit even numbers that can be formed with 0, 1, 2, 3, 7, 8 is:

A
180
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B
175
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C
160
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D
156
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Solution

The correct option is D 156
First, let us find the total no. of four digit arrangement
Even digits = 2,8,0 [3digits]
5 4 3 3
Total no of cases = 5 x 4 x 3 x 3
= 180
Excluding the ones that start with 0.
0 4 3 2
This time, the last can take 1 of 2 options
only (2,8)
No. of numbers starting with 0 = 4 x 3 x 2 = 24
Ans=18024=156

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